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Is the sum and difference of two perpendicular vectors have same lengyhs and also perpendicular to each other?

Yes, the sum of two perpendicular vectors has the same length as the original vectors, and they are also perpendicular to each other. However, the difference of two perpendicular vectors may not have the same length as the original vectors, but they will still be perpendicular to each other.


When sum and difference vector of two vectors are perpendicular .are the vectors too perpendicular?

Yes.


What does the cross product of two vectors represent in mathematics?

The cross product of two vectors in mathematics represents a new vector that is perpendicular to both of the original vectors. It is used to calculate the area of a parallelogram formed by the two original vectors and to determine the direction of a resulting force in physics.


When are vectors said to be perpendicular?

Perpendicular means that the angle between the two vectors is 90 degrees - a right angle. If you have the vectors as components, just take the dot product - if the dot product is zero, that means either that the vectors are perpendicular, or that one of the vectors has a magnitude of zero.


Dot product of two perpendicular vectors?

Zero.


What is the condition when two vectors are addition and subtraction are same magnitude?

The condition is the two vectors are perpendicular to each other.


What is the cross product of two perpendicular vectors and how is it calculated?

The cross product of two perpendicular vectors is a vector that is perpendicular to both of the original vectors. It is calculated using the formula: mathbfa times mathbfb beginpmatrix a2b3 - a3b2 a3b1 - a1b3 a1b2 - a2b1 endpmatrix Where (mathbfa beginpmatrix a1 a2 a3 endpmatrix) and (mathbfb beginpmatrix b1 b2 b3 endpmatrix) are the two perpendicular vectors.


What is the dot product of two perpendicular vectors?

zero is the answer


If two vectors are perpendicular to each other then the resultant what?

If two vectors are perpendicular to each other, their dot product is zero. This means that the resultant of the two vectors is the magnitude of one of the vectors, as the angle between them is 90 degrees, resulting in a right triangle.


Show that the sum and difference of two prependicular vectors of equal length are also perpendicular of same length?

yes ithape ens only if the two vectors are perpendicular to eachothe we can equate their squares


What does it mean when the dot product between two vectors is zero?

When the dot product between two vectors is zero, it means that the vectors are perpendicular or orthogonal to each other.


Real life example of two perpendicular vectors?

Dropping a bullet and shooting a bullet at the same time. They will touch the ground at the same time because they are perpendicular vectors.